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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationWed, 24 Jan 2018 09:35:19 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Jan/24/t15167829684b9nvt7q50642t5.htm/, Retrieved Mon, 06 May 2024 09:10:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=311736, Retrieved Mon, 06 May 2024 09:10:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact46

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2018-01-24 08:35:19] [0f18ed1f73607915ebb279e06a72a0fb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10
15
14
14
8
19
17
18
10
15
16
12
13
10
14
15
20
9
12
13
16
12
14
15
19
16
16
14
14
14
13
18
15
15
15
13
14
15
14
19
16
16
12
10
11
13
14
11
11
16
9
16
19
13
15
14
15
11
14
15
17
16
13
15
14
15
14
12
12
15
17
13
5
7
10
15
9
9
15
14
11
18
20
20
16
15
14
13
18
14
12
9
19
13
12
14
6
14
11
11
14
12
19
13
14
17
12
16
15
15
15
16
15
12
13
14
17
14
14
14
15
11
11
16
12
12
19
18
16
16
13
11
10
14
14
14
16
10
16
7
16
15
17
11
11
10
13
14
13
13
12
10
15
6
15
15
11
14
14
16
12
15
20
12
9
13
15
19
11
11
17
15
14
15
11
12
15
16
16

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time7 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311736&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]7 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=311736&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311736&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time7 seconds
R ServerBig Analytics Cloud Computing Center






ANOVA Model
Perceived_Ease_of_Use ~ Perceived_Ease_of_Use
means1012345678910-5-4-3-2-1

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline Perceived_Ease_of_Use ~ Perceived_Ease_of_Use \tabularnewline means & 10 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & -5 & -4 & -3 & -2 & -1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=311736&T=1

[TABLE]
[ROW]
ANOVA Model[/C][/ROW] [ROW]Perceived_Ease_of_Use ~ Perceived_Ease_of_Use[/C][/ROW] [ROW][C]means[/C][C]10[/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]-5[/C][C]-4[/C][C]-3[/C][C]-2[/C][C]-1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=311736&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311736&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Model
Perceived_Ease_of_Use ~ Perceived_Ease_of_Use
means1012345678910-5-4-3-2-1






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Perceived_Ease_of_Use151462.27997.4853.04971709347566e+300
Residuals16300 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Perceived_Ease_of_Use & 15 & 1462.279 & 97.485 & 3.04971709347566e+30 & 0 \tabularnewline
Residuals & 163 & 0 & 0 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311736&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Perceived_Ease_of_Use[/C][C]15[/C][C]1462.279[/C][C]97.485[/C][C]3.04971709347566e+30[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]163[/C][C]0[/C][C]0[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311736&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311736&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Perceived_Ease_of_Use151462.27997.4853.04971709347566e+300
Residuals16300






Tukey Honest Significant Difference Comparisons
difflwruprp adj
11-101110
12-102220
13-103330
14-104440
15-105550
16-106660
17-107770
18-108880
19-109990
20-101010100
5-10-5-5-50
6-10-4-4-40
7-10-3-3-30
8-10-2-2-20
9-10-1-1-10
12-111110
13-112220
14-113330
15-114440
16-115550
17-116660
18-117770
19-118880
20-119990
5-11-6-6-60
6-11-5-5-50
7-11-4-4-40
8-11-3-3-30
9-11-2-2-20
13-121110
14-122220
15-123330
16-124440
17-125550
18-126660
19-127770
20-128880
5-12-7-7-70
6-12-6-6-60
7-12-5-5-50
8-12-4-4-40
9-12-3-3-30
14-131110
15-132220
16-133330
17-134440
18-135550
19-136660
20-137770
5-13-8-8-80
6-13-7-7-70
7-13-6-6-60
8-13-5-5-50
9-13-4-4-40
15-141110
16-142220
17-143330
18-144440
19-145550
20-146660
5-14-9-9-90
6-14-8-8-80
7-14-7-7-70
8-14-6-6-60
9-14-5-5-50
16-151110
17-152220
18-153330
19-154440
20-155550
5-15-10-10-100
6-15-9-9-90
7-15-8-8-80
8-15-7-7-70
9-15-6-6-60
17-161110
18-162220
19-163330
20-164440
5-16-11-11-110
6-16-10-10-100
7-16-9-9-90
8-16-8-8-80
9-16-7-7-70
18-171110
19-172220
20-173330
5-17-12-12-120
6-17-11-11-110
7-17-10-10-100
8-17-9-9-90
9-17-8-8-80
19-181110
20-182220
5-18-13-13-130
6-18-12-12-120
7-18-11-11-110
8-18-10-10-100
9-18-9-9-90
20-191110
5-19-14-14-140
6-19-13-13-130
7-19-12-12-120
8-19-11-11-110
9-19-10-10-100
5-20-15-15-150
6-20-14-14-140
7-20-13-13-130
8-20-12-12-120
9-20-11-11-110
6-51110
7-52220
8-53330
9-54440
7-61110
8-62220
9-63330
8-71110
9-72220
9-81110

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
11-10 & 1 & 1 & 1 & 0 \tabularnewline
12-10 & 2 & 2 & 2 & 0 \tabularnewline
13-10 & 3 & 3 & 3 & 0 \tabularnewline
14-10 & 4 & 4 & 4 & 0 \tabularnewline
15-10 & 5 & 5 & 5 & 0 \tabularnewline
16-10 & 6 & 6 & 6 & 0 \tabularnewline
17-10 & 7 & 7 & 7 & 0 \tabularnewline
18-10 & 8 & 8 & 8 & 0 \tabularnewline
19-10 & 9 & 9 & 9 & 0 \tabularnewline
20-10 & 10 & 10 & 10 & 0 \tabularnewline
5-10 & -5 & -5 & -5 & 0 \tabularnewline
6-10 & -4 & -4 & -4 & 0 \tabularnewline
7-10 & -3 & -3 & -3 & 0 \tabularnewline
8-10 & -2 & -2 & -2 & 0 \tabularnewline
9-10 & -1 & -1 & -1 & 0 \tabularnewline
12-11 & 1 & 1 & 1 & 0 \tabularnewline
13-11 & 2 & 2 & 2 & 0 \tabularnewline
14-11 & 3 & 3 & 3 & 0 \tabularnewline
15-11 & 4 & 4 & 4 & 0 \tabularnewline
16-11 & 5 & 5 & 5 & 0 \tabularnewline
17-11 & 6 & 6 & 6 & 0 \tabularnewline
18-11 & 7 & 7 & 7 & 0 \tabularnewline
19-11 & 8 & 8 & 8 & 0 \tabularnewline
20-11 & 9 & 9 & 9 & 0 \tabularnewline
5-11 & -6 & -6 & -6 & 0 \tabularnewline
6-11 & -5 & -5 & -5 & 0 \tabularnewline
7-11 & -4 & -4 & -4 & 0 \tabularnewline
8-11 & -3 & -3 & -3 & 0 \tabularnewline
9-11 & -2 & -2 & -2 & 0 \tabularnewline
13-12 & 1 & 1 & 1 & 0 \tabularnewline
14-12 & 2 & 2 & 2 & 0 \tabularnewline
15-12 & 3 & 3 & 3 & 0 \tabularnewline
16-12 & 4 & 4 & 4 & 0 \tabularnewline
17-12 & 5 & 5 & 5 & 0 \tabularnewline
18-12 & 6 & 6 & 6 & 0 \tabularnewline
19-12 & 7 & 7 & 7 & 0 \tabularnewline
20-12 & 8 & 8 & 8 & 0 \tabularnewline
5-12 & -7 & -7 & -7 & 0 \tabularnewline
6-12 & -6 & -6 & -6 & 0 \tabularnewline
7-12 & -5 & -5 & -5 & 0 \tabularnewline
8-12 & -4 & -4 & -4 & 0 \tabularnewline
9-12 & -3 & -3 & -3 & 0 \tabularnewline
14-13 & 1 & 1 & 1 & 0 \tabularnewline
15-13 & 2 & 2 & 2 & 0 \tabularnewline
16-13 & 3 & 3 & 3 & 0 \tabularnewline
17-13 & 4 & 4 & 4 & 0 \tabularnewline
18-13 & 5 & 5 & 5 & 0 \tabularnewline
19-13 & 6 & 6 & 6 & 0 \tabularnewline
20-13 & 7 & 7 & 7 & 0 \tabularnewline
5-13 & -8 & -8 & -8 & 0 \tabularnewline
6-13 & -7 & -7 & -7 & 0 \tabularnewline
7-13 & -6 & -6 & -6 & 0 \tabularnewline
8-13 & -5 & -5 & -5 & 0 \tabularnewline
9-13 & -4 & -4 & -4 & 0 \tabularnewline
15-14 & 1 & 1 & 1 & 0 \tabularnewline
16-14 & 2 & 2 & 2 & 0 \tabularnewline
17-14 & 3 & 3 & 3 & 0 \tabularnewline
18-14 & 4 & 4 & 4 & 0 \tabularnewline
19-14 & 5 & 5 & 5 & 0 \tabularnewline
20-14 & 6 & 6 & 6 & 0 \tabularnewline
5-14 & -9 & -9 & -9 & 0 \tabularnewline
6-14 & -8 & -8 & -8 & 0 \tabularnewline
7-14 & -7 & -7 & -7 & 0 \tabularnewline
8-14 & -6 & -6 & -6 & 0 \tabularnewline
9-14 & -5 & -5 & -5 & 0 \tabularnewline
16-15 & 1 & 1 & 1 & 0 \tabularnewline
17-15 & 2 & 2 & 2 & 0 \tabularnewline
18-15 & 3 & 3 & 3 & 0 \tabularnewline
19-15 & 4 & 4 & 4 & 0 \tabularnewline
20-15 & 5 & 5 & 5 & 0 \tabularnewline
5-15 & -10 & -10 & -10 & 0 \tabularnewline
6-15 & -9 & -9 & -9 & 0 \tabularnewline
7-15 & -8 & -8 & -8 & 0 \tabularnewline
8-15 & -7 & -7 & -7 & 0 \tabularnewline
9-15 & -6 & -6 & -6 & 0 \tabularnewline
17-16 & 1 & 1 & 1 & 0 \tabularnewline
18-16 & 2 & 2 & 2 & 0 \tabularnewline
19-16 & 3 & 3 & 3 & 0 \tabularnewline
20-16 & 4 & 4 & 4 & 0 \tabularnewline
5-16 & -11 & -11 & -11 & 0 \tabularnewline
6-16 & -10 & -10 & -10 & 0 \tabularnewline
7-16 & -9 & -9 & -9 & 0 \tabularnewline
8-16 & -8 & -8 & -8 & 0 \tabularnewline
9-16 & -7 & -7 & -7 & 0 \tabularnewline
18-17 & 1 & 1 & 1 & 0 \tabularnewline
19-17 & 2 & 2 & 2 & 0 \tabularnewline
20-17 & 3 & 3 & 3 & 0 \tabularnewline
5-17 & -12 & -12 & -12 & 0 \tabularnewline
6-17 & -11 & -11 & -11 & 0 \tabularnewline
7-17 & -10 & -10 & -10 & 0 \tabularnewline
8-17 & -9 & -9 & -9 & 0 \tabularnewline
9-17 & -8 & -8 & -8 & 0 \tabularnewline
19-18 & 1 & 1 & 1 & 0 \tabularnewline
20-18 & 2 & 2 & 2 & 0 \tabularnewline
5-18 & -13 & -13 & -13 & 0 \tabularnewline
6-18 & -12 & -12 & -12 & 0 \tabularnewline
7-18 & -11 & -11 & -11 & 0 \tabularnewline
8-18 & -10 & -10 & -10 & 0 \tabularnewline
9-18 & -9 & -9 & -9 & 0 \tabularnewline
20-19 & 1 & 1 & 1 & 0 \tabularnewline
5-19 & -14 & -14 & -14 & 0 \tabularnewline
6-19 & -13 & -13 & -13 & 0 \tabularnewline
7-19 & -12 & -12 & -12 & 0 \tabularnewline
8-19 & -11 & -11 & -11 & 0 \tabularnewline
9-19 & -10 & -10 & -10 & 0 \tabularnewline
5-20 & -15 & -15 & -15 & 0 \tabularnewline
6-20 & -14 & -14 & -14 & 0 \tabularnewline
7-20 & -13 & -13 & -13 & 0 \tabularnewline
8-20 & -12 & -12 & -12 & 0 \tabularnewline
9-20 & -11 & -11 & -11 & 0 \tabularnewline
6-5 & 1 & 1 & 1 & 0 \tabularnewline
7-5 & 2 & 2 & 2 & 0 \tabularnewline
8-5 & 3 & 3 & 3 & 0 \tabularnewline
9-5 & 4 & 4 & 4 & 0 \tabularnewline
7-6 & 1 & 1 & 1 & 0 \tabularnewline
8-6 & 2 & 2 & 2 & 0 \tabularnewline
9-6 & 3 & 3 & 3 & 0 \tabularnewline
8-7 & 1 & 1 & 1 & 0 \tabularnewline
9-7 & 2 & 2 & 2 & 0 \tabularnewline
9-8 & 1 & 1 & 1 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311736&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]11-10[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]12-10[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]13-10[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]14-10[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]15-10[/C][C]5[/C][C]5[/C][C]5[/C][C]0[/C][/ROW]
[ROW][C]16-10[/C][C]6[/C][C]6[/C][C]6[/C][C]0[/C][/ROW]
[ROW][C]17-10[/C][C]7[/C][C]7[/C][C]7[/C][C]0[/C][/ROW]
[ROW][C]18-10[/C][C]8[/C][C]8[/C][C]8[/C][C]0[/C][/ROW]
[ROW][C]19-10[/C][C]9[/C][C]9[/C][C]9[/C][C]0[/C][/ROW]
[ROW][C]20-10[/C][C]10[/C][C]10[/C][C]10[/C][C]0[/C][/ROW]
[ROW][C]5-10[/C][C]-5[/C][C]-5[/C][C]-5[/C][C]0[/C][/ROW]
[ROW][C]6-10[/C][C]-4[/C][C]-4[/C][C]-4[/C][C]0[/C][/ROW]
[ROW][C]7-10[/C][C]-3[/C][C]-3[/C][C]-3[/C][C]0[/C][/ROW]
[ROW][C]8-10[/C][C]-2[/C][C]-2[/C][C]-2[/C][C]0[/C][/ROW]
[ROW][C]9-10[/C][C]-1[/C][C]-1[/C][C]-1[/C][C]0[/C][/ROW]
[ROW][C]12-11[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]13-11[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]14-11[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]15-11[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]16-11[/C][C]5[/C][C]5[/C][C]5[/C][C]0[/C][/ROW]
[ROW][C]17-11[/C][C]6[/C][C]6[/C][C]6[/C][C]0[/C][/ROW]
[ROW][C]18-11[/C][C]7[/C][C]7[/C][C]7[/C][C]0[/C][/ROW]
[ROW][C]19-11[/C][C]8[/C][C]8[/C][C]8[/C][C]0[/C][/ROW]
[ROW][C]20-11[/C][C]9[/C][C]9[/C][C]9[/C][C]0[/C][/ROW]
[ROW][C]5-11[/C][C]-6[/C][C]-6[/C][C]-6[/C][C]0[/C][/ROW]
[ROW][C]6-11[/C][C]-5[/C][C]-5[/C][C]-5[/C][C]0[/C][/ROW]
[ROW][C]7-11[/C][C]-4[/C][C]-4[/C][C]-4[/C][C]0[/C][/ROW]
[ROW][C]8-11[/C][C]-3[/C][C]-3[/C][C]-3[/C][C]0[/C][/ROW]
[ROW][C]9-11[/C][C]-2[/C][C]-2[/C][C]-2[/C][C]0[/C][/ROW]
[ROW][C]13-12[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]14-12[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]15-12[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]16-12[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]17-12[/C][C]5[/C][C]5[/C][C]5[/C][C]0[/C][/ROW]
[ROW][C]18-12[/C][C]6[/C][C]6[/C][C]6[/C][C]0[/C][/ROW]
[ROW][C]19-12[/C][C]7[/C][C]7[/C][C]7[/C][C]0[/C][/ROW]
[ROW][C]20-12[/C][C]8[/C][C]8[/C][C]8[/C][C]0[/C][/ROW]
[ROW][C]5-12[/C][C]-7[/C][C]-7[/C][C]-7[/C][C]0[/C][/ROW]
[ROW][C]6-12[/C][C]-6[/C][C]-6[/C][C]-6[/C][C]0[/C][/ROW]
[ROW][C]7-12[/C][C]-5[/C][C]-5[/C][C]-5[/C][C]0[/C][/ROW]
[ROW][C]8-12[/C][C]-4[/C][C]-4[/C][C]-4[/C][C]0[/C][/ROW]
[ROW][C]9-12[/C][C]-3[/C][C]-3[/C][C]-3[/C][C]0[/C][/ROW]
[ROW][C]14-13[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]15-13[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]16-13[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]17-13[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]18-13[/C][C]5[/C][C]5[/C][C]5[/C][C]0[/C][/ROW]
[ROW][C]19-13[/C][C]6[/C][C]6[/C][C]6[/C][C]0[/C][/ROW]
[ROW][C]20-13[/C][C]7[/C][C]7[/C][C]7[/C][C]0[/C][/ROW]
[ROW][C]5-13[/C][C]-8[/C][C]-8[/C][C]-8[/C][C]0[/C][/ROW]
[ROW][C]6-13[/C][C]-7[/C][C]-7[/C][C]-7[/C][C]0[/C][/ROW]
[ROW][C]7-13[/C][C]-6[/C][C]-6[/C][C]-6[/C][C]0[/C][/ROW]
[ROW][C]8-13[/C][C]-5[/C][C]-5[/C][C]-5[/C][C]0[/C][/ROW]
[ROW][C]9-13[/C][C]-4[/C][C]-4[/C][C]-4[/C][C]0[/C][/ROW]
[ROW][C]15-14[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]16-14[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]17-14[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]18-14[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]19-14[/C][C]5[/C][C]5[/C][C]5[/C][C]0[/C][/ROW]
[ROW][C]20-14[/C][C]6[/C][C]6[/C][C]6[/C][C]0[/C][/ROW]
[ROW][C]5-14[/C][C]-9[/C][C]-9[/C][C]-9[/C][C]0[/C][/ROW]
[ROW][C]6-14[/C][C]-8[/C][C]-8[/C][C]-8[/C][C]0[/C][/ROW]
[ROW][C]7-14[/C][C]-7[/C][C]-7[/C][C]-7[/C][C]0[/C][/ROW]
[ROW][C]8-14[/C][C]-6[/C][C]-6[/C][C]-6[/C][C]0[/C][/ROW]
[ROW][C]9-14[/C][C]-5[/C][C]-5[/C][C]-5[/C][C]0[/C][/ROW]
[ROW][C]16-15[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]17-15[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]18-15[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]19-15[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]20-15[/C][C]5[/C][C]5[/C][C]5[/C][C]0[/C][/ROW]
[ROW][C]5-15[/C][C]-10[/C][C]-10[/C][C]-10[/C][C]0[/C][/ROW]
[ROW][C]6-15[/C][C]-9[/C][C]-9[/C][C]-9[/C][C]0[/C][/ROW]
[ROW][C]7-15[/C][C]-8[/C][C]-8[/C][C]-8[/C][C]0[/C][/ROW]
[ROW][C]8-15[/C][C]-7[/C][C]-7[/C][C]-7[/C][C]0[/C][/ROW]
[ROW][C]9-15[/C][C]-6[/C][C]-6[/C][C]-6[/C][C]0[/C][/ROW]
[ROW][C]17-16[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]18-16[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]19-16[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]20-16[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]5-16[/C][C]-11[/C][C]-11[/C][C]-11[/C][C]0[/C][/ROW]
[ROW][C]6-16[/C][C]-10[/C][C]-10[/C][C]-10[/C][C]0[/C][/ROW]
[ROW][C]7-16[/C][C]-9[/C][C]-9[/C][C]-9[/C][C]0[/C][/ROW]
[ROW][C]8-16[/C][C]-8[/C][C]-8[/C][C]-8[/C][C]0[/C][/ROW]
[ROW][C]9-16[/C][C]-7[/C][C]-7[/C][C]-7[/C][C]0[/C][/ROW]
[ROW][C]18-17[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]19-17[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]20-17[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]5-17[/C][C]-12[/C][C]-12[/C][C]-12[/C][C]0[/C][/ROW]
[ROW][C]6-17[/C][C]-11[/C][C]-11[/C][C]-11[/C][C]0[/C][/ROW]
[ROW][C]7-17[/C][C]-10[/C][C]-10[/C][C]-10[/C][C]0[/C][/ROW]
[ROW][C]8-17[/C][C]-9[/C][C]-9[/C][C]-9[/C][C]0[/C][/ROW]
[ROW][C]9-17[/C][C]-8[/C][C]-8[/C][C]-8[/C][C]0[/C][/ROW]
[ROW][C]19-18[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]20-18[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]5-18[/C][C]-13[/C][C]-13[/C][C]-13[/C][C]0[/C][/ROW]
[ROW][C]6-18[/C][C]-12[/C][C]-12[/C][C]-12[/C][C]0[/C][/ROW]
[ROW][C]7-18[/C][C]-11[/C][C]-11[/C][C]-11[/C][C]0[/C][/ROW]
[ROW][C]8-18[/C][C]-10[/C][C]-10[/C][C]-10[/C][C]0[/C][/ROW]
[ROW][C]9-18[/C][C]-9[/C][C]-9[/C][C]-9[/C][C]0[/C][/ROW]
[ROW][C]20-19[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]5-19[/C][C]-14[/C][C]-14[/C][C]-14[/C][C]0[/C][/ROW]
[ROW][C]6-19[/C][C]-13[/C][C]-13[/C][C]-13[/C][C]0[/C][/ROW]
[ROW][C]7-19[/C][C]-12[/C][C]-12[/C][C]-12[/C][C]0[/C][/ROW]
[ROW][C]8-19[/C][C]-11[/C][C]-11[/C][C]-11[/C][C]0[/C][/ROW]
[ROW][C]9-19[/C][C]-10[/C][C]-10[/C][C]-10[/C][C]0[/C][/ROW]
[ROW][C]5-20[/C][C]-15[/C][C]-15[/C][C]-15[/C][C]0[/C][/ROW]
[ROW][C]6-20[/C][C]-14[/C][C]-14[/C][C]-14[/C][C]0[/C][/ROW]
[ROW][C]7-20[/C][C]-13[/C][C]-13[/C][C]-13[/C][C]0[/C][/ROW]
[ROW][C]8-20[/C][C]-12[/C][C]-12[/C][C]-12[/C][C]0[/C][/ROW]
[ROW][C]9-20[/C][C]-11[/C][C]-11[/C][C]-11[/C][C]0[/C][/ROW]
[ROW][C]6-5[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]7-5[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]8-5[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]9-5[/C][C]4[/C][C]4[/C][C]4[/C][C]0[/C][/ROW]
[ROW][C]7-6[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]8-6[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]9-6[/C][C]3[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[ROW][C]8-7[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[ROW][C]9-7[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[ROW][C]9-8[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311736&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311736&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
11-101110
12-102220
13-103330
14-104440
15-105550
16-106660
17-107770
18-108880
19-109990
20-101010100
5-10-5-5-50
6-10-4-4-40
7-10-3-3-30
8-10-2-2-20
9-10-1-1-10
12-111110
13-112220
14-113330
15-114440
16-115550
17-116660
18-117770
19-118880
20-119990
5-11-6-6-60
6-11-5-5-50
7-11-4-4-40
8-11-3-3-30
9-11-2-2-20
13-121110
14-122220
15-123330
16-124440
17-125550
18-126660
19-127770
20-128880
5-12-7-7-70
6-12-6-6-60
7-12-5-5-50
8-12-4-4-40
9-12-3-3-30
14-131110
15-132220
16-133330
17-134440
18-135550
19-136660
20-137770
5-13-8-8-80
6-13-7-7-70
7-13-6-6-60
8-13-5-5-50
9-13-4-4-40
15-141110
16-142220
17-143330
18-144440
19-145550
20-146660
5-14-9-9-90
6-14-8-8-80
7-14-7-7-70
8-14-6-6-60
9-14-5-5-50
16-151110
17-152220
18-153330
19-154440
20-155550
5-15-10-10-100
6-15-9-9-90
7-15-8-8-80
8-15-7-7-70
9-15-6-6-60
17-161110
18-162220
19-163330
20-164440
5-16-11-11-110
6-16-10-10-100
7-16-9-9-90
8-16-8-8-80
9-16-7-7-70
18-171110
19-172220
20-173330
5-17-12-12-120
6-17-11-11-110
7-17-10-10-100
8-17-9-9-90
9-17-8-8-80
19-181110
20-182220
5-18-13-13-130
6-18-12-12-120
7-18-11-11-110
8-18-10-10-100
9-18-9-9-90
20-191110
5-19-14-14-140
6-19-13-13-130
7-19-12-12-120
8-19-11-11-110
9-19-10-10-100
5-20-15-15-150
6-20-14-14-140
7-20-13-13-130
8-20-12-12-120
9-20-11-11-110
6-51110
7-52220
8-53330
9-54440
7-61110
8-62220
9-63330
8-71110
9-72220
9-81110






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group15NaNNaN
163 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 15 & NaN & NaN \tabularnewline
  & 163 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=311736&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]15[/C][C]NaN[/C][C]NaN[/C][/ROW]
[ROW][C] [/C][C]163[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=311736&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=311736&T=4

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group15NaNNaN
163


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = TRUE ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
'Tukey Plot'
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
}
if(intercept==TRUE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-leveneTest(lmxdf)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,round(lt.lmxdf[[i]][1], digits=3), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')